论文标题
$ \ imath $ Quantum类型的相对辫子组对称
Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type
论文作者
论文摘要
最近，王和作者对$ \ imath $量子组的相对辫子小组操作已建立。在本文中，我们将该构造扩展到$ \ imath $ Quantum类型的量子组。我们为$ \ imath $量子组制定了根矢量，均以递归形式和封闭的$ \ imath $划分的功率表格。我们表明，相对编织组的对称性将根向量发送到根向量。
Recently, relative braid group actions on $\imath$quantum groups of arbitrary finite types have been constructed by Wang and the author. In this paper, we extend that construction to $\imath$quantum groups of Kac-Moody type. We formulate root vectors for $\imath$quantum groups in both recursive forms and closed $\imath$divided power forms. We show that the relative braid group symmetries send root vectors to root vectors.
